Finite Group Databasebeta

← C23×#43893 #72339261

Subgroups — C23×#43893 #72339261

Order 2048.

1832568 conjugacy classes of subgroups.

The subgroup lattice has 2312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#2467C212yesmaximal, complemented
2C23×#2714C212yesmaximal, complemented
3C23×#2564C211yesmaximal, characteristic, complemented
4C23×#2703C212yesmaximal, complemented
5C24×#538C211yesmaximal, characteristic, complemented
6C23×#2364C211yesmaximal, characteristic, complemented
7C23×#2321C211yesmaximal, characteristic, complemented
8C23×#2670C212yesmaximal, complemented
9C23×#2435C211yesmaximal, characteristic, complemented
10C23×#2418C212yesmaximal, complemented
11C23×#2673C212yesmaximal, complemented
12C23×#2555C212yesmaximal, complemented
13C23×#2539C212yesmaximal, complemented
14C22×#43893C21224yesmaximal, direct product factor
15C23×D4×C22⋊C4C212yesmaximal, complemented
16C23×#2410C212yesmaximal, complemented
17C23×#2408C212yesmaximal, complemented
18C24×#392C211yesmaximal, characteristic, complemented
19C23×#2403C212yesmaximal, complemented
20C24×D42C211yesmaximal, characteristic, complemented
21C26×D4C2212yes—
22C26×D4C2211yescharacteristic
23C26×D4C2211yescharacteristic, complemented
24C26×D4C2212yescomplemented
25C23×D42—264no—
26C23×D42C221112yescomplemented
27C23×#538—264no—
28C23×#538C221112yescomplemented
29C24×#127C2211yescharacteristic, complemented
30C24×#126C2212yescomplemented
31C24×#124C2212yescomplemented
32C24×#124C2212yescomplemented
33C24×#123C2212yescomplemented
34C24×#123C2212yescomplemented
35C24×C22⋊Q8C2211yescharacteristic, complemented
36C24×#121C2211yescharacteristic
37C24×#121C2212yescomplemented
38C24×#121C2211yescharacteristic, complemented
39C24×#121C2212yescomplemented
40C24×#121C2212yescomplemented
41C24×#121C2212yescomplemented
42C24×#120C2212yes—
43C24×#120C2211yescharacteristic
44C24×#120C2212yescomplemented
45C24×#120C2212yescomplemented
46C24×#120C2212yescomplemented
47C24×#120C2212yescomplemented
48C24×C4×D4C2211yescharacteristic
49C24×C4×D4C2212yescomplemented
50C24×C4×D4C2211yescharacteristic, complemented
51C24×C4×D4C2212yescomplemented
52C25×C22⋊C4C2211yescharacteristic, complemented
53C25×C22⋊C4C2212yescomplemented
54C25×C22⋊C4C2212yescomplemented
55C2×#43893C2217168yesdirect product factor
56C22×#2703C221224yescomplemented
57C22×#2670C221224yescomplemented
58C22×#2714C221224yescomplemented
59C22×#2673C221224yescomplemented
60C22×#2564C221112yescomplemented
61C22×#2555C221224yescomplemented
62C22×#2539C221224yescomplemented
63C22×#2435C221112yescomplemented
64C22×#2408C221224yescomplemented
65C22×#2467C221224yescomplemented
66C22×#2418C221224yescomplemented
67C22×#2410C221224yescomplemented
68C22×#2403C221224yescomplemented
69C23×#400C2211yescharacteristic, complemented
70C23×#399C2211yescharacteristic, complemented
71C23×#399C2212yescomplemented
72C23×#397C2212yescomplemented
73C23×#395C2211yescharacteristic, complemented
74C23×#394C2212yescomplemented
75C23×#394C2212yescomplemented
76C23×#394C2212yescomplemented
77C23×#394C2212yescomplemented
78C23×#394C2212yescomplemented
79C23×#394C2212yescomplemented
80C23×#393C2211yescharacteristic, complemented
81C23×#392C2212yes—
82C23×#392C2212yescomplemented
83C23×#392C2212yescomplemented
84C23×#392C2212yescomplemented
85C23×#392C2212yescomplemented
86C23×#392C2212yescomplemented
87C23×#392C2212yescomplemented
88C23×#392C2212yescomplemented
89C23×#392C2212yescomplemented
90C23×#392C2212yescomplemented
91C23×#392C221112yescomplemented
92C22×#2364C221112yescomplemented
93C22×D4×C22⋊C4C221224yescomplemented
94C22×#2321C221112yescomplemented
95C23×#390C2212yescomplemented
96C23×#390C2212yescomplemented
97C23×#390C2212yescomplemented
98C23×#390C2212yescomplemented
99C23×#390C2212yescomplemented
100C23×#390C2212yescomplemented
101C23×#388C2212yescomplemented
102C23×#388C2212yescomplemented
103C23×#388C2212yescomplemented
104C23×#388C2212yescomplemented
105C23×#388C2212yescomplemented
106C23×#387C2212yescomplemented
107C23×#387C2212yescomplemented
108C23×#386C2211yescharacteristic
109C23×#386C2212yes—
110C23×#386C2212yescomplemented
111C23×#386C2212yescomplemented
112C23×#386C2212yescomplemented
113C23×#386C2212yescomplemented
114C23×#386C2212yescomplemented
115C23×#386C2212yescomplemented
116C23×#386C2212yescomplemented
117C23×#386C2212yescomplemented
118C23×#385C2212yescomplemented
119C23×#385C2211yescharacteristic, complemented
120C23×#380C2212yescomplemented
121C23×#380C2212yescomplemented
122C23×#379C2212yescomplemented
123C23×#379C2212yescomplemented
124C23×#379C2212yescomplemented
125C23×#379C2211yescharacteristic, complemented
126C23×C4×C22⋊C4C2212yescomplemented
127C23×C4×C22⋊C4C2212yescomplemented
128C23×C4×C22⋊C4C2211yescharacteristic, complemented
129C24×#95C2211yescharacteristic, complemented
130C28C2312yes—
131C28C2311yescharacteristic
132C28C2312yes—
133C25×Q8C2311yescharacteristic
134C25×D4—264no—
135C25×D4—232no—
136C25×D4—264no—
137C25×D4—232no—
138C25×D4—432no—
139C25×D4—432no—
140C25×D4—432no—
141C25×D4—432no—
142C25×D4—432no—
143C25×D4—432no—
144C25×D4C2311yescharacteristic
145C25×D4C2312yes—
146C25×D4C2312yes—
147C25×D4C2312yes—
148C25×D4C2312yes—
149C25×D4C2312yes—
150C25×D4C231112yes—
151C25×D4C2312yes—
152C25×D4C2311yescharacteristic
153C25×D4C2312yes—
154C25×D4C2312yes—
155C25×D4C2312yes—
156C25×D4C2312yes—
157C25×D4C2312yes—
158C25×D4C2312yes—
159C25×D4C2311yescharacteristic
160C25×D4C23156yes—
161C25×D4C2312yes—
162C25×D4C2311yescharacteristic
163C25×D4C23156yescomplemented
164C25×D4C231112yescomplemented
165C26×C4C2312yes—
166C26×C4C2312yes—
167C26×C4C2311yescharacteristic
168C26×C4C2312yes—
169C26×C4C2312yes—
170C26×C4C2311yescharacteristic
171C26×C4C2311yescharacteristic
172C22×D42—23584no—
173C22×D42C2311792yescomplemented
174C22×#538—23584no—
175C22×#538C2311792yescomplemented
176C23×#127—232no—
177C23×#127C23156yescomplemented
178C23×#126—264no—
179C23×#126C231112yescomplemented
180C23×#124—264no—
181C23×#124—432no—
182C23×#124C231112yescomplemented
183C23×#124C231112yescomplemented
184C23×#123—264no—
185C23×#123—432no—
186C23×#123C231112yescomplemented
187C23×#123C231112yescomplemented
188C23×C22⋊Q8—232no—
189C23×C22⋊Q8C23156yescomplemented
190C23×#121—232no—
191C23×#121—264no—
192C23×#121—264no—
193C23×#121—432no—
194C23×#121—432no—
195C23×#121D4164yescomplemented
196C23×#121C23156yes—
197C23×#121C231112yescomplemented
198C23×#121C23156yescomplemented
199C23×#121C231112yescomplemented
200C23×#121C231112yescomplemented
201C23×#121C231112yescomplemented
202C23×#120—264no—
203C23×#120—264no—
204C23×#120—264no—
205C23×#120—232no—
206C23×#120—432no—
207C23×#120—432no—
208C23×#120C23156yes—
209C23×#120C231112yes—
210C23×#120C231112yescomplemented
211C23×#120C231112yescomplemented
212C23×#120C231112yescomplemented
213C23×#120C231112yescomplemented
214C23×C4×D4—232no—
215C23×C4×D4—264no—
216C23×C4×D4—232no—
217C23×C4×D4—432no—
218C23×C4×D4C23156yes—
219C23×C4×D4C231112yescomplemented
220C23×C4×D4C23156yescomplemented
221C23×C4×D4C231112yescomplemented
222C24×C4⋊C4C2312yes—
223C24×C4⋊C4C2312yes—
224C24×C4⋊C4C2311yescharacteristic
225C24×C4⋊C4C2312yes—
226C24×C4⋊C4C2311yescharacteristic
227C24×C4⋊C4C2312yes—
228C24×C4⋊C4C2312yes—
229C24×C4⋊C4C2312yes—
230C24×C4⋊C4C2311yescharacteristic
231C24×C22⋊C4—232no—
232C24×C22⋊C4—432no—
233C24×C22⋊C4—432no—
234C24×C22⋊C4C2311yescharacteristic
235C24×C22⋊C4C2312yes—
236C24×C22⋊C4C2311yescharacteristic
237C24×C22⋊C4C2312yes—
238C24×C22⋊C4C2311yescharacteristic
239C24×C22⋊C4C2312yes—
240C24×C22⋊C4C2312yes—
241C24×C22⋊C4C2312yes—
242C24×C22⋊C4C2312yes—
243C24×C22⋊C4C2312yes—
244C24×C22⋊C4C2312yes—
245C24×C22⋊C4C2312yes—
246C24×C22⋊C4C2311yescharacteristic
247C24×C22⋊C4C2312yes—
248C24×C22⋊C4C2312yes—
249C24×C22⋊C4C2312yes—
250C24×C22⋊C4C2312yes—
251C24×C22⋊C4C2312yes—
252C24×C22⋊C4C2312yes—
253C24×C22⋊C4C2312yes—
254C24×C22⋊C4C2312yes—
255C24×C22⋊C4C2312yes—
256C24×C22⋊C4C2312yes—
257C24×C22⋊C4C2312yes—
258C24×C22⋊C4C2312yes—
259C24×C22⋊C4C2312yes—
260C24×C22⋊C4C2312yes—
261C24×C22⋊C4C2312yes—
262C24×C22⋊C4C2312yes—
263C24×C22⋊C4C2312yes—
264C24×C22⋊C4C2312yes—
265C24×C22⋊C4C2312yes—
266C24×C22⋊C4C2312yes—
267C24×C22⋊C4C2312yes—
268C24×C22⋊C4C23156yescomplemented
269C24×C22⋊C4C231112yescomplemented
270C24×C22⋊C4C231112yescomplemented
271C24×C42C2311yescharacteristic
272C24×C42C2312yes—
273C24×C42C2312yes—
274C24×C42C2312yes—
275C2×#2714C2313584yescomplemented
276C2×#2703C2313584yescomplemented
277C2×#2673C2313584yescomplemented
278C2×#2670C2313584yescomplemented
279#43893C23132768yesdirect product factor
280C2×#2564C2311792yescomplemented
281C2×#2555C2313584yescomplemented
282C2×#2539C2313584yescomplemented
283C2×#2435C2311792yescomplemented
284C2×#2408C2313584yescomplemented
285C2×#2467C2313584yescomplemented
286C2×#2418C2313584yescomplemented
287C2×#2410C2313584yescomplemented
288C2×#2403C2313584yescomplemented
289C22×#400C23156yescomplemented
290C22×#399C231112yescomplemented
291C22×#399C23156yescomplemented
292C22×#397C231112yescomplemented
293C22×#395C23156yescomplemented
294C22×#394C231112yescomplemented
295C22×#394C231112yescomplemented
296C22×#394C231112yescomplemented
297C22×#394C231112yescomplemented
298C22×#394C231112yescomplemented
299C22×#394C231112yescomplemented
300C22×#393C23156yescomplemented
301C22×#392C231112yes—
302C22×#392C231112yescomplemented
303C22×#392C231112yescomplemented
304C22×#392C231112yescomplemented
305C22×#392C231112yescomplemented
306C22×#392C231112yescomplemented
307C22×#392C231112yescomplemented
308C22×#392C231112yescomplemented
309C22×#392C231112yescomplemented
310C22×#392C231112yescomplemented
311C22×#392C2311792yescomplemented
312C2×#2364C2311792yescomplemented
313C2×D4×C22⋊C4C2313584yescomplemented
314C2×#2321C2311792yescomplemented
315C22×#390C231112yescomplemented
316C22×#390C231112yescomplemented
317C22×#390C231112yescomplemented
318C22×#390C231112yescomplemented
319C22×#390C231112yescomplemented
320C22×#390C231112yescomplemented
321C22×#388C231112yescomplemented
322C22×#388C231112yescomplemented
323C22×#388C231112yescomplemented
324C22×#388C231112yescomplemented
325C22×#388C231112yescomplemented
326C22×#387C231112yescomplemented
327C22×#387C231112yescomplemented
328C22×#386C231112yes—
329C22×#386C23156yes—
330C22×#386C231112yescomplemented
331C22×#386C231112yescomplemented
332C22×#386C231112yescomplemented
333C22×#386C231112yescomplemented
334C22×#386C231112yescomplemented
335C22×#386C231112yescomplemented
336C22×#386C231112yescomplemented
337C22×#386C231112yescomplemented
338C22×#385C231112yescomplemented
339C22×#385C23156yescomplemented
340C22×#380C231112yescomplemented
341C22×#380C231112yescomplemented
342C22×#379C231112yescomplemented
343C22×#379C231112yescomplemented
344C22×#379C23156yescomplemented
345C22×#379C231112yescomplemented
346C22×C4×C22⋊C4C231112yescomplemented
347C22×C4×C22⋊C4C23156yescomplemented
348C22×C4×C22⋊C4C231112yescomplemented
349C23×#95C2312yes—
350C23×#95C2312yes—
351C23×#95C2312yes—
352C23×#95C2312yes—
353C23×#95C2312yes—
354C23×#95C2312yes—
355C23×#95C2312yes—
356C23×#95C2312yes—
357C23×#95C2312yes—
358C23×#95C2312yes—
359C23×#95C2311yescharacteristic
360C23×#95C2311yescharacteristic
361C23×#95C23156yescomplemented
362C27—232no—
363C27—216no—
364C27—232no—
365C27—232no—
366C27—232no—
367C27—232no—
368C27—232no—
369C27—232no—
370C27—216no—
371C27—216no—
372C27—416no—
373C27—416no—
374C27—416no—
375C27—416no—
376C27—416no—
377C27—416no—
378C27—416no—
379C27—416no—
380C27—416no—
381C27C2412yes—
382C27C2412yes—
383C27C2412yes—
384C27C2411yescharacteristic
385C27C2412yes—
386C27C24156yes—
387C27C2411yescharacteristic
388C27C24156yes—
389C27C24128yes—
390C24×Q8—216no—
391C24×Q8—416no—
392C24×Q8C24128yes—
393C24×D4—216no—
394C24×D4—232no—
395C24×D4—232no—
396C24×D4—216no—
397C24×D4—232no—
398C24×D4—232no—
399C24×D4—232no—
400C24×D4—232no—
401C24×D4—232no—
402C24×D4—232no—
403C24×D4—232no—
404C24×D4—232no—
405C24×D4—232no—
406C24×D4—232no—
407C24×D4—232no—
408C24×D4—232no—
409C24×D4—21792no—
410C24×D4—2896no—
411C24×D4—21792no—
412C24×D4—216no—
413C24×D4—232no—
414C24×D4—232no—
415C24×D4—216no—
416C24×D4—2896no—
417C24×D4—232no—
418C24×D4—232no—
419C24×D4—232no—
420C24×D4—4896no—
421C24×D4—416no—
422C24×D4—416no—
423C24×D4—416no—
424C24×D4—416no—
425C24×D4—416no—
426C24×D4—416no—
427C24×D4—416no—
428C24×D4—416no—
429C24×D4—416no—
430C24×D4—416no—
431C24×D4—416no—
432C24×D4—416no—
433C24×D4—416no—
434C24×D4—416no—
435C24×D4—4896no—
436C24×D4—416no—
437C24×D4—416no—
438C24×D4—416no—
439C24×D4—416no—
440C24×D4—416no—
441C24×D4—416no—
442C24×D4—416no—
443C24×D4—416no—
444C24×D4—4896no—
445C24×D4—4896no—
446C24×D4—4896no—
447C24×D4—4896no—
448C24×D4—42048no—
449C24×D4—41024no—
450C24×D4—41024no—
451C24×D4—42048no—
452C24×D4C2×D4164yes—
453C24×D4C2×D4132yescomplemented
454C24×D4#41132yes—
455C24×D4C24128yes—
456C24×D4C241896yes—
457C24×D4C24156yes—
458C24×D4C24156yes—
459C24×D4C24156yes—
460C24×D4C24156yes—
461C24×D4C24156yes—
462C24×D4C24156yes—
463C24×D4C24128yes—
464C24×D4C241448yes—
465C24×D4C24128yes—
466C24×D4C24156yes—
467C24×D4C24156yes—
468C24×D4C24156yes—
469C24×D4C24156yes—
470C24×D4C24156yes—
471C24×D4C24156yes—
472C24×D4C24156yes—
473C24×D4C24128yes—
474C24×D4C241448yescomplemented
475C24×D4C241896yescomplemented
476C25×C4—232no—
477C25×C4—216no—
478C25×C4—232no—
479C25×C4—232no—
480C25×C4—216no—
481C25×C4—232no—
482C25×C4—232no—
483C25×C4—232no—
484C25×C4—416no—
485C25×C4—416no—
486C25×C4—416no—
487C25×C4—416no—
488C25×C4—416no—
489C25×C4—416no—
490C25×C4—416no—
491C25×C4—416no—
492C25×C4—416no—
493C25×C4C2×D4132yes—
494C25×C4C2412yes—
495C25×C4C2411yescharacteristic
496C25×C4C2412yes—
497C25×C4C2412yes—
498C25×C4C2412yes—
499C25×C4C2411yescharacteristic
500C25×C4C2412yes—
501C25×C4C2412yes—
502C25×C4C24156yes—
503C25×C4C24156yes—
504C25×C4C2411yescharacteristic
505C25×C4C2411yescharacteristic
506C25×C4C2412yes—
507C25×C4C2411yescharacteristic
508C25×C4C2412yes—
509C25×C4C24128yes—
510C25×C4C24128yes—
511C25×C4C24156yes—
512C25×C4C24156yes—
513C25×C4C24128yes—
514C2×D42—228672no—
515C2×D42C2414096yescomplemented
516C2×#538—228672no—
517C2×#538C2414096yescomplemented
518C22×#127—2896no—
519C22×#127C241448yescomplemented
520C22×#126—21792no—
521C22×#126C241896yescomplemented
522C22×#124—21792no—
523C22×#124—4896no—
524C22×#124C241896yescomplemented
525C22×#124C241896yescomplemented
526C22×#123—21792no—
527C22×#123—4896no—
528C22×#123C241896yescomplemented
529C22×#123C241896yescomplemented
530C22×C22⋊Q8—2896no—
531C22×C22⋊Q8C241448yescomplemented
532C22×#121—21792no—
533C22×#121—2896no—
534C22×#121—21792no—
535C22×#121—4896no—
536C22×#121—4896no—
537C22×#121C2×D411792yescomplemented
538C22×#121C241448yes—
539C22×#121C241896yescomplemented
540C22×#121C241896yescomplemented
541C22×#121C241448yescomplemented
542C22×#121C241896yescomplemented
543C22×#121C241896yescomplemented
544C22×#120—21792no—
545C22×#120—21792no—
546C22×#120—2896no—
547C22×#120—21792no—
548C22×#120—4896no—
549C22×#120—4896no—
550C22×#120C241448yes—
551C22×#120C241896yes—
552C22×#120C241896yescomplemented
553C22×#120C241896yescomplemented
554C22×#120C241896yescomplemented
555C22×#120C241896yescomplemented
556C22×C4×D4—21792no—
557C22×C4×D4—2896no—
558C22×C4×D4—2896no—
559C22×C4×D4—4896no—
560C22×C4×D4C241448yes—
561C22×C4×D4C241896yescomplemented
562C22×C4×D4C241448yescomplemented
563C22×C4×D4C241896yescomplemented
564C23×C4⋊C4—216no—
565C23×C4⋊C4—232no—
566C23×C4⋊C4—232no—
567C23×C4⋊C4—216no—
568C23×C4⋊C4—232no—
569C23×C4⋊C4—416no—
570C23×C4⋊C4—416no—
571C23×C4⋊C4—416no—
572C23×C4⋊C4C2×D4132yescomplemented
573C23×C4⋊C4C24128yes—
574C23×C4⋊C4C24156yes—
575C23×C4⋊C4C24156yes—
576C23×C4⋊C4C24156yes—
577C23×C4⋊C4C24128yes—
578C23×C4⋊C4C24156yes—
579C23×C4⋊C4C24156yes—
580C23×C4⋊C4C24156yes—
581C23×C4⋊C4C24128yes—
582C23×C22⋊C4—216no—
583C23×C22⋊C4—232no—
584C23×C22⋊C4—232no—
585C23×C22⋊C4—216no—
586C23×C22⋊C4—216no—
587C23×C22⋊C4—232no—
588C23×C22⋊C4—232no—
589C23×C22⋊C4—232no—
590C23×C22⋊C4—232no—
591C23×C22⋊C4—2896no—
592C23×C22⋊C4—232no—
593C23×C22⋊C4—216no—
594C23×C22⋊C4—232no—
595C23×C22⋊C4—232no—
596C23×C22⋊C4—232no—
597C23×C22⋊C4—232no—
598C23×C22⋊C4—232no—
599C23×C22⋊C4—232no—
600C23×C22⋊C4—232no—
601C23×C22⋊C4—232no—
602C23×C22⋊C4—4896no—
603C23×C22⋊C4—4896no—
604C23×C22⋊C4—416no—
605C23×C22⋊C4—416no—
606C23×C22⋊C4—416no—
607C23×C22⋊C4—416no—
608C23×C22⋊C4—416no—
609C23×C22⋊C4—416no—
610C23×C22⋊C4—416no—
611C23×C22⋊C4—416no—
612C23×C22⋊C4—416no—
613C23×C22⋊C4—416no—
614C23×C22⋊C4—416no—
615C23×C22⋊C4—416no—
616C23×C22⋊C4—416no—
617C23×C22⋊C4—416no—
618C23×C22⋊C4C2×D4164yescomplemented
619C23×C22⋊C4C24156yes—
620C23×C22⋊C4C24156yes—
621C23×C22⋊C4C24156yes—
622C23×C22⋊C4C24156yes—
623C23×C22⋊C4C24156yes—
624C23×C22⋊C4C24128yes—
625C23×C22⋊C4C24128yes—
626C23×C22⋊C4C24128yes—
627C23×C22⋊C4C24156yes—
628C23×C22⋊C4C24156yes—
629C23×C22⋊C4C24156yes—
630C23×C22⋊C4C24156yes—
631C23×C22⋊C4C24128yes—
632C23×C22⋊C4C24156yes—
633C23×C22⋊C4C24156yes—
634C23×C22⋊C4C24156yes—
635C23×C22⋊C4C24156yes—
636C23×C22⋊C4C24156yes—
637C23×C22⋊C4C24156yes—
638C23×C22⋊C4C24156yes—
639C23×C22⋊C4C24156yes—
640C23×C22⋊C4C24156yes—
641C23×C22⋊C4C24156yes—
642C23×C22⋊C4C24156yes—
643C23×C22⋊C4C24156yes—
644C23×C22⋊C4C24156yes—
645C23×C22⋊C4C24156yes—
646C23×C22⋊C4C24156yes—
647C23×C22⋊C4C24156yes—
648C23×C22⋊C4C24156yes—
649C23×C22⋊C4C24156yes—
650C23×C22⋊C4C24156yes—
651C23×C22⋊C4C24156yes—
652C23×C22⋊C4C24156yes—
653C23×C22⋊C4C241448yescomplemented
654C23×C22⋊C4C241896yescomplemented
655C23×C22⋊C4C241896yescomplemented
656C23×C42—216no—
657C23×C42—232no—
658C23×C42—416no—
659C23×C42—416no—
660C23×C42C24128yes—
661C23×C42C24156yes—
662C23×C42C24156yes—
663C23×C42C24156yes—
664#2714C2418192yescomplemented
665#2703C2418192yescomplemented
666#2673C2418192yescomplemented
667#2670C2418192yescomplemented
668#2564C2414096yescomplemented
669#2555C2418192yescomplemented
670#2539C2418192yescomplemented
671#2467C2418192yescomplemented
672#2435C2414096yescomplemented
673#2418C2418192yescomplemented
674#2410C2418192yescomplemented
675#2408C2418192yescomplemented
676#2403C2418192yescomplemented
677C2×#400C241448yescomplemented
678C2×#399C241448yescomplemented
679C2×#399C241896yescomplemented
680C2×#397C241896yescomplemented
681C2×#395C241448yescomplemented
682C2×#394C241896yescomplemented
683C2×#394C241896yescomplemented
684C2×#394C241896yescomplemented
685C2×#394C241896yescomplemented
686C2×#394C241896yescomplemented
687C2×#394C241896yescomplemented
688C2×#393C241448yescomplemented
689C2×#392C241896yes—
690C2×#392C241896yescomplemented
691C2×#392C241896yescomplemented
692C2×#392C241896yescomplemented
693C2×#392C241896yescomplemented
694C2×#392C241896yescomplemented
695C2×#392C241896yescomplemented
696C2×#392C241896yescomplemented
697C2×#392C241896yescomplemented
698C2×#392C241896yescomplemented
699C2×#392C2414096yescomplemented
700#2364C2414096yescomplemented
701D4×C22⋊C4C2418192yescomplemented
702#2321C2414096yescomplemented
703C2×#390C241896yescomplemented
704C2×#390C241896yescomplemented
705C2×#390C241896yescomplemented
706C2×#390C241896yescomplemented
707C2×#390C241896yescomplemented
708C2×#390C241896yescomplemented
709C2×#388C241896yescomplemented
710C2×#388C241896yescomplemented
711C2×#388C241896yescomplemented
712C2×#388C241896yescomplemented
713C2×#388C241896yescomplemented
714C2×#387C241896yescomplemented
715C2×#387C241896yescomplemented
716C2×#386C241448yes—
717C2×#386C241896yes—
718C2×#386C241896yescomplemented
719C2×#386C241896yescomplemented
720C2×#386C241896yescomplemented
721C2×#386C241896yescomplemented
722C2×#386C241896yescomplemented
723C2×#386C241896yescomplemented
724C2×#386C241896yescomplemented
725C2×#386C241896yescomplemented
726C2×#385C241448yescomplemented
727C2×#385C241896yescomplemented
728C2×#380C241896yescomplemented
729C2×#380C241896yescomplemented
730C2×#379C241448yescomplemented
731C2×#379C241896yescomplemented
732C2×#379C241896yescomplemented
733C2×#379C241896yescomplemented
734C2×C4×C22⋊C4C241896yescomplemented
735C2×C4×C22⋊C4C241896yescomplemented
736C2×C4×C22⋊C4C241448yescomplemented
737C22×#95C24128yes—
738C22×#95C24156yes—
739C22×#95C24128yes—
740C22×#95C24156yes—
741C22×#95C24156yes—
742C22×#95C24156yes—
743C22×#95C24156yes—
744C22×#95C24156yes—
745C22×#95C24156yes—
746C22×#95C24156yes—
747C22×#95C24156yes—
748C22×#95C24156yes—
749C22×#95C241448yescomplemented
750C26—216no—
751C26—216no—
752C26—28no—
753C26—216no—
754C26—216no—
755C26—216no—
756C26—216no—
757C26—216no—
758C26—216no—
759C26—216no—
760C26—216no—
761C26—216no—
762C26—28no—
763C26—216no—
764C26—216no—
765C26—216no—
766C26—216no—
767C26—216no—
768C26—216no—
769C26—216no—
770C26—216no—
771C26—216no—
772C26—216no—
773C26—216no—
774C26—216no—
775C26—216no—
776C26—216no—
777C26—216no—
778C26—2448no—
779C26—2224no—
780C26—216no—
781C26—216no—
782C26—216no—
783C26—216no—
784C26—2448no—
785C26—2448no—
786C26—2448no—
787C26—2448no—
788C26—2448no—
789C26—2448no—
790C26—2224no—
791C26—2224no—
792C26—4224no—
793C26—4224no—
794C26—4224no—
795C26—4224no—
796C26—4224no—
797C26—4224no—
798C26—4224no—
799C26—4224no—
800C26—4224no—
801C26—4512no—
802C26—4512no—
803C26—4512no—
804C26—4512no—
805C26—4512no—
806C26—4512no—
807C26—4512no—
808C26—4512no—
809C26—4256no—
810C26—8128no—
811C26—8256no—
812C26—8128no—
813C26—8256no—
814C26—8256no—
815C26—8256no—
816C26—8256no—
817C26—8256no—
818C26—8256no—
819C26—8256no—
820C26C22×D4132yes—
821C26C22×D4116yes—
822C26C2×#41116yes—
823C26C2×#41116yes—
824C26H(5,𝔽2)132yes—
825C26H(5,𝔽2)116yes—
826C26C25128yes—
827C26C25128yes—
828C26C25128yes—
829C26C25114yes—
830C26C25128yes—
831C26C251224yes—
832C26C25114yes—
833C26C251224yes—
834C26C251112yes—
835C26C2511yescharacteristic
836C23×Q8—2224no—
837C23×Q8—4224no—
838C23×Q8—8128no—
839C23×Q8C251112yes—
840C23×D4—2512no—
841C23×D4—2512no—
842C23×D4—21024no—
843C23×D4—2224no—
844C23×D4—2448no—
845C23×D4—2448no—
846C23×D4—2224no—
847C23×D4—2448no—
848C23×D4—2448no—
849C23×D4—2448no—
850C23×D4—2448no—
851C23×D4—2448no—
852C23×D4—2448no—
853C23×D4—2448no—
854C23×D4—2448no—
855C23×D4—2448no—
856C23×D4—2448no—
857C23×D4—2448no—
858C23×D4—2448no—
859C23×D4—27168no—
860C23×D4—23584no—
861C23×D4—27168no—
862C23×D4—2224no—
863C23×D4—2448no—
864C23×D4—2448no—
865C23×D4—2224no—
866C23×D4—23584no—
867C23×D4—2448no—
868C23×D4—2448no—
869C23×D4—2448no—
870C23×D4—43584no—
871C23×D4—4256no—
872C23×D4—4224no—
873C23×D4—4224no—
874C23×D4—4224no—
875C23×D4—4224no—
876C23×D4—4224no—
877C23×D4—4224no—
878C23×D4—4224no—
879C23×D4—4224no—
880C23×D4—4224no—
881C23×D4—4224no—
882C23×D4—4224no—
883C23×D4—4224no—
884C23×D4—4224no—
885C23×D4—4224no—
886C23×D4—43584no—
887C23×D4—4512no—
888C23×D4—4512no—
889C23×D4—4512no—
890C23×D4—4512no—
891C23×D4—4256no—
892C23×D4—4512no—
893C23×D4—4224no—
894C23×D4—4224no—
895C23×D4—4224no—
896C23×D4—4224no—
897C23×D4—4224no—
898C23×D4—4224no—
899C23×D4—4224no—
900C23×D4—4224no—
901C23×D4—43584no—
902C23×D4—43584no—
903C23×D4—43584no—
904C23×D4—43584no—
905C23×D4—428672no—
906C23×D4—414336no—
907C23×D4—414336no—
908C23×D4—4512no—
909C23×D4—4512no—
910C23×D4—428672no—
911C23×D4—4512no—
912C23×D4—8256no—
913C23×D4—8256no—
914C23×D4—8256no—
915C23×D4—8256no—
916C23×D4C22×D41896yes—
917C23×D4C22×D41448yescomplemented
918C23×D4C2×#411448yes—
919C23×D4C251112yes—
920C23×D4C2511024yes—
921C23×D4C251224yes—
922C23×D4C251224yes—
923C23×D4C251224yes—
924C23×D4C251224yes—
925C23×D4C251224yes—
926C23×D4C251224yes—
927C23×D4C251112yes—
928C23×D4C251112yes—
929C23×D4C251512yes—
930C23×D4C251224yes—
931C23×D4C251224yes—
932C23×D4C251224yes—
933C23×D4C251224yes—
934C23×D4C251224yes—
935C23×D4C251224yes—
936C23×D4C251224yes—
937C23×D4C251112yes—
938C23×D4C251512yescomplemented
939C23×D4C2511024yescomplemented
940C24×C4—28no—
941C24×C4—216no—
942C24×C4—216no—
943C24×C4—28no—
944C24×C4—216no—
945C24×C4—216no—
946C24×C4—216no—
947C24×C4—216no—
948C24×C4—216no—
949C24×C4—28no—
950C24×C4—216no—
951C24×C4—28no—
952C24×C4—216no—
953C24×C4—216no—
954C24×C4—216no—
955C24×C4—216no—
956C24×C4—2448no—
957C24×C4—216no—
958C24×C4—216no—
959C24×C4—216no—
960C24×C4—216no—
961C24×C4—216no—
962C24×C4—216no—
963C24×C4—216no—
964C24×C4—216no—
965C24×C4—216no—
966C24×C4—216no—
967C24×C4—216no—
968C24×C4—216no—
969C24×C4—216no—
970C24×C4—216no—
971C24×C4—2224no—
972C24×C4—2448no—
973C24×C4—2448no—
974C24×C4—2224no—
975C24×C4—2448no—
976C24×C4—2448no—
977C24×C4—2448no—
978C24×C4—4256no—
979C24×C4—4224no—
980C24×C4—4224no—
981C24×C4—4224no—
982C24×C4—4224no—
983C24×C4—4512no—
984C24×C4—4224no—
985C24×C4—4224no—
986C24×C4—4224no—
987C24×C4—4224no—
988C24×C4—4224no—
989C24×C4—4512no—
990C24×C4—4256no—
991C24×C4—8256no—
992C24×C4—8128no—
993C24×C4—8256no—
994C24×C4C22×D4116yes—
995C24×C4C22×D4132yes—
996C24×C4C22×D4116yes—
997C24×C4C22×D41448yes—
998C24×C4C2×#41116yes—
999C24×C4H(5,𝔽2)132yes—
1000C24×C4C25128yes—
1001C24×C4C25114yes—
1002C24×C4C25128yes—
1003C24×C4C25128yes—
1004C24×C4C25128yes—
1005C24×C4C25114yes—
1006C24×C4C25128yes—
1007C24×C4C25128yes—
1008C24×C4C251224yes—
1009C24×C4C251224yes—
1010C24×C4C25114yes—
1011C24×C4C25114yes—
1012C24×C4C25128yes—
1013C24×C4C25114yes—
1014C24×C4C25128yes—
1015C24×C4C251112yes—
1016C24×C4C251112yes—
1017C24×C4C251224yes—
1018C24×C4C251224yes—
1019C24×C4C251112yes—
1020D42—232768no—
1021#538—232768no—
1022C2×#127—23584no—
1023C2×#127C251512yescomplemented
1024C2×#126—27168no—
1025C2×#126C2511024yescomplemented
1026C2×#124—27168no—
1027C2×#124—43584no—
1028C2×#124C2511024yescomplemented
1029C2×#124C2511024yescomplemented
1030C2×#123—27168no—
1031C2×#123—43584no—
1032C2×#123C2511024yescomplemented
1033C2×#123C2511024yescomplemented
1034C2×C22⋊Q8—23584no—
1035C2×C22⋊Q8C251512yescomplemented
1036C2×#121—27168no—
1037C2×#121—23584no—
1038C2×#121—27168no—
1039C2×#121—43584no—
1040C2×#121—43584no—
1041C2×#121C22×D417168yescomplemented
1042C2×#121C251512yes—
1043C2×#121C2511024yescomplemented
1044C2×#121C2511024yescomplemented
1045C2×#121C251512yescomplemented
1046C2×#121C2511024yescomplemented
1047C2×#121C2511024yescomplemented
1048C2×#120—27168no—
1049C2×#120—27168no—
1050C2×#120—23584no—
1051C2×#120—27168no—
1052C2×#120—43584no—
1053C2×#120—43584no—
1054C2×#120C251512yes—
1055C2×#120C2511024yes—
1056C2×#120C2511024yescomplemented
1057C2×#120C2511024yescomplemented
1058C2×#120C2511024yescomplemented
1059C2×#120C2511024yescomplemented
1060C2×C4×D4—27168no—
1061C2×C4×D4—23584no—
1062C2×C4×D4—23584no—
1063C2×C4×D4—43584no—
1064C2×C4×D4C251512yes—
1065C2×C4×D4C2511024yescomplemented
1066C2×C4×D4C251512yescomplemented
1067C2×C4×D4C2511024yescomplemented
1068C22×C4⋊C4—2224no—
1069C22×C4⋊C4—2448no—
1070C22×C4⋊C4—2448no—
1071C22×C4⋊C4—2224no—
1072C22×C4⋊C4—2448no—
1073C22×C4⋊C4—4224no—
1074C22×C4⋊C4—4224no—
1075C22×C4⋊C4—4224no—
1076C22×C4⋊C4C22×D41448yescomplemented
1077C22×C4⋊C4C251224yes—
1078C22×C4⋊C4C251112yes—
1079C22×C4⋊C4C251224yes—
1080C22×C4⋊C4C251224yes—
1081C22×C4⋊C4C251112yes—
1082C22×C4⋊C4C251224yes—
1083C22×C4⋊C4C251224yes—
1084C22×C4⋊C4C251224yes—
1085C22×C4⋊C4C251112yes—
1086C22×C22⋊C4—2224no—
1087C22×C22⋊C4—2448no—
1088C22×C22⋊C4—2448no—
1089C22×C22⋊C4—2224no—
1090C22×C22⋊C4—2224no—
1091C22×C22⋊C4—2448no—
1092C22×C22⋊C4—2448no—
1093C22×C22⋊C4—2448no—
1094C22×C22⋊C4—2448no—
1095C22×C22⋊C4—23584no—
1096C22×C22⋊C4—2448no—
1097C22×C22⋊C4—2224no—
1098C22×C22⋊C4—2448no—
1099C22×C22⋊C4—2448no—
1100C22×C22⋊C4—2448no—
1101C22×C22⋊C4—2448no—
1102C22×C22⋊C4—2448no—
1103C22×C22⋊C4—2448no—
1104C22×C22⋊C4—2448no—
1105C22×C22⋊C4—2448no—
1106C22×C22⋊C4—43584no—
1107C22×C22⋊C4—43584no—
1108C22×C22⋊C4—4224no—
1109C22×C22⋊C4—4224no—
1110C22×C22⋊C4—4224no—
1111C22×C22⋊C4—4224no—
1112C22×C22⋊C4—4224no—
1113C22×C22⋊C4—4224no—
1114C22×C22⋊C4—4224no—
1115C22×C22⋊C4—4224no—
1116C22×C22⋊C4—4224no—
1117C22×C22⋊C4—4224no—
1118C22×C22⋊C4—4224no—
1119C22×C22⋊C4—4224no—
1120C22×C22⋊C4—4224no—
1121C22×C22⋊C4—4224no—
1122C22×C22⋊C4C22×D41896yescomplemented
1123C22×C22⋊C4C251224yes—
1124C22×C22⋊C4C251224yes—
1125C22×C22⋊C4C251224yes—
1126C22×C22⋊C4C251224yes—
1127C22×C22⋊C4C251224yes—
1128C22×C22⋊C4C251224yes—
1129C22×C22⋊C4C251224yes—
1130C22×C22⋊C4C251224yes—
1131C22×C22⋊C4C251224yes—
1132C22×C22⋊C4C251112yes—
1133C22×C22⋊C4C251224yes—
1134C22×C22⋊C4C251224yes—
1135C22×C22⋊C4C251224yes—
1136C22×C22⋊C4C251224yes—
1137C22×C22⋊C4C251224yes—
1138C22×C22⋊C4C251112yes—
1139C22×C22⋊C4C251112yes—
1140C22×C22⋊C4C251224yes—
1141C22×C22⋊C4C251112yes—
1142C22×C22⋊C4C251224yes—
1143C22×C22⋊C4C251224yes—
1144C22×C22⋊C4C251224yes—
1145C22×C22⋊C4C251224yes—
1146C22×C22⋊C4C251224yes—
1147C22×C22⋊C4C251224yes—
1148C22×C22⋊C4C251224yes—
1149C22×C22⋊C4C251224yes—
1150C22×C22⋊C4C251224yes—
1151C22×C22⋊C4C251224yes—
1152C22×C22⋊C4C251224yes—
1153C22×C22⋊C4C251224yes—
1154C22×C22⋊C4C251224yes—
1155C22×C22⋊C4C251224yes—
1156C22×C22⋊C4C251224yes—
1157C22×C22⋊C4C251512yescomplemented
1158C22×C22⋊C4C2511024yescomplemented
1159C22×C22⋊C4C2511024yescomplemented
1160C22×C42—2224no—
1161C22×C42—2448no—
1162C22×C42—4224no—
1163C22×C42—4224no—
1164C22×C42C251112yes—
1165C22×C42C251224yes—
1166C22×C42C251224yes—
1167C22×C42C251224yes—
1168#400C251512yescomplemented
1169#399C251512yescomplemented
1170#399C2511024yescomplemented
1171#397C2511024yescomplemented
1172#395C251512yescomplemented
1173#394C2511024yescomplemented
1174#394C2511024yescomplemented
1175#394C2511024yescomplemented
1176#394C2511024yescomplemented
1177#394C2511024yescomplemented
1178#394C2511024yescomplemented
1179#393C251512yescomplemented
1180#392C2511024yes—
1181#392C2511024yescomplemented
1182#392C2511024yescomplemented
1183#392C2511024yescomplemented
1184#392C2511024yescomplemented
1185#392C2511024yescomplemented
1186#392C2511024yescomplemented
1187#392C2511024yescomplemented
1188#392C2511024yescomplemented
1189#392C2511024yescomplemented
1190#390C2511024yescomplemented
1191#390C2511024yescomplemented
1192#390C2511024yescomplemented
1193#390C2511024yescomplemented
1194#390C2511024yescomplemented
1195#390C2511024yescomplemented
1196#388C2511024yescomplemented
1197#388C2511024yescomplemented
1198#388C2511024yescomplemented
1199#388C2511024yescomplemented
1200#388C2511024yescomplemented
1201#387C2511024yescomplemented
1202#387C2511024yescomplemented
1203#386C2511024yes—
1204#386C251512yes—
1205#386C2511024yescomplemented
1206#386C2511024yescomplemented
1207#386C2511024yescomplemented
1208#386C2511024yescomplemented
1209#386C2511024yescomplemented
1210#386C2511024yescomplemented
1211#386C2511024yescomplemented
1212#386C2511024yescomplemented
1213#385C2511024yescomplemented
1214#385C251512yescomplemented
1215#380C2511024yescomplemented
1216#380C2511024yescomplemented
1217#379C251512yescomplemented
1218#379C2511024yescomplemented
1219#379C2511024yescomplemented
1220#379C2511024yescomplemented
1221C4×C22⋊C4C251512yescomplemented
1222C4×C22⋊C4C2511024yescomplemented
1223C4×C22⋊C4C2511024yescomplemented
1224C2×#95C251224yes—
1225C2×#95C251112yes—
1226C2×#95C251112yes—
1227C2×#95C251224yes—
1228C2×#95C251224yes—
1229C2×#95C251224yes—
1230C2×#95C251224yes—
1231C2×#95C251224yes—
1232C2×#95C251224yes—
1233C2×#95C251224yes—
1234C2×#95C251224yes—
1235C2×#95C251224yes—
1236C2×#95C251512yescomplemented
1237C25—2112no—
1238C25—2112no—
1239C25—2128no—
1240C25—2128no—
1241C25—2256no—
1242C25—2256no—
1243C25—2112no—
1244C25—256no—
1245C25—2112no—
1246C25—2112no—
1247C25—2112no—
1248C25—2112no—
1249C25—2112no—
1250C25—2112no—
1251C25—2112no—
1252C25—2112no—
1253C25—2112no—
1254C25—2112no—
1255C25—2112no—
1256C25—2112no—
1257C25—2112no—
1258C25—256no—
1259C25—2128no—
1260C25—2256no—
1261C25—2256no—
1262C25—2256no—
1263C25—2256no—
1264C25—2256no—
1265C25—2256no—
1266C25—2256no—
1267C25—2112no—
1268C25—2112no—
1269C25—2112no—
1270C25—2112no—
1271C25—2112no—
1272C25—2112no—
1273C25—2112no—
1274C25—2112no—
1275C25—2112no—
1276C25—2112no—
1277C25—2112no—
1278C25—2896no—
1279C25—2448no—
1280C25—2112no—
1281C25—2112no—
1282C25—2112no—
1283C25—2896no—
1284C25—2896no—
1285C25—2896no—
1286C25—2896no—
1287C25—2896no—
1288C25—2896no—
1289C25—2448no—
1290C25—2448no—
1291C25—4448no—
1292C25—4448no—
1293C25—4448no—
1294C25—4448no—
1295C25—4448no—
1296C25—4448no—
1297C25—4448no—
1298C25—4448no—
1299C25—4448no—
1300C25—43584no—
1301C25—43584no—
1302C25—43584no—
1303C25—43584no—
1304C25—43584no—
1305C25—43584no—
1306C25—43584no—
1307C25—4128no—
1308C25—464no—
1309C25—4128no—
1310C25—464no—
1311C25—4128no—
1312C25—4128no—
1313C25—4128no—
1314C25—4128no—
1315C25—4128no—
1316C25—4128no—
1317C25—4128no—
1318C25—43584no—
1319C25—4128no—
1320C25—41792no—
1321C25—4128no—
1322C25—4128no—
1323C25—4128no—
1324C25—4128no—
1325C25—4128no—
1326C25—4128no—
1327C25—4128no—
1328C25—4128no—
1329C25—4128no—
1330C25—4128no—
1331C25—4128no—
1332C25—4128no—
1333C25—4128no—
1334C25—8896no—
1335C25—81792no—
1336C25—81792no—
1337C25—81792no—
1338C25—8896no—
1339C25—81792no—
1340C25—81792no—
1341C25—81792no—
1342C25—81792no—
1343C25—88192no—
1344C25—84096no—
1345C25—88192no—
1346C25—81792no—
1347C25#5461256yes—
1348C25C23×D41224yes—
1349C25C23×D41112yes—
1350C25C23×D418yes—
1351C25C22×#411112yes—
1352C25C22×#411112yes—
1353C25C22×#4118yes—
1354C25C2×H(5,𝔽2)1224yes—
1355C25C2×H(5,𝔽2)1112yes—
1356C25C2×H(5,𝔽2)18yes—
1357C25C2×H(5,𝔽2)116yes—
1358C25C2×H(5,𝔽2)116yes—
1359C25C26156yes—
1360C25C26156yes—
1361C25C26156yes—
1362C25C26128yes—
1363C25C26156yes—
1364C25C261128yes—
1365C25C26128yes—
1366C25C26164yes—
1367C25C261128yes—
1368C25C2617yes—
1369C22×Q8—2448no—
1370C22×Q8—4448no—
1371C22×Q8—8896no—
1372C22×Q8C26164yes—
1373C22×D4—23584no—
1374C22×D4—2448no—
1375C22×D4—2896no—
1376C22×D4—2896no—
1377C22×D4—2896no—
1378C22×D4—2448no—
1379C22×D4—23584no—
1380C22×D4—27168no—
1381C22×D4—2896no—
1382C22×D4—2896no—
1383C22×D4—2896no—
1384C22×D4—2896no—
1385C22×D4—2896no—
1386C22×D4—2896no—
1387C22×D4—2896no—
1388C22×D4—2896no—
1389C22×D4—2896no—
1390C22×D4—2896no—
1391C22×D4—2896no—
1392C22×D4—24096no—
1393C22×D4—22048no—
1394C22×D4—24096no—
1395C22×D4—2448no—
1396C22×D4—2896no—
1397C22×D4—2896no—
1398C22×D4—2448no—
1399C22×D4—22048no—
1400C22×D4—2896no—
1401C22×D4—2896no—
1402C22×D4—2896no—
1403C22×D4—42048no—
1404C22×D4—41792no—
1405C22×D4—4448no—
1406C22×D4—4448no—
1407C22×D4—4448no—
1408C22×D4—4448no—
1409C22×D4—4448no—
1410C22×D4—4448no—
1411C22×D4—4448no—
1412C22×D4—4448no—
1413C22×D4—4448no—
1414C22×D4—4448no—
1415C22×D4—4448no—
1416C22×D4—4448no—
1417C22×D4—4448no—
1418C22×D4—4448no—
1419C22×D4—42048no—
1420C22×D4—43584no—
1421C22×D4—43584no—
1422C22×D4—43584no—
1423C22×D4—43584no—
1424C22×D4—41792no—
1425C22×D4—43584no—
1426C22×D4—4448no—
1427C22×D4—4448no—
1428C22×D4—4448no—
1429C22×D4—4448no—
1430C22×D4—4448no—
1431C22×D4—4448no—
1432C22×D4—4448no—
1433C22×D4—4448no—
1434C22×D4—42048no—
1435C22×D4—42048no—
1436C22×D4—42048no—
1437C22×D4—42048no—
1438C22×D4—457344no—
1439C22×D4—428672no—
1440C22×D4—428672no—
1441C22×D4—43584no—
1442C22×D4—43584no—
1443C22×D4—457344no—
1444C22×D4—43584no—
1445C22×D4—81792no—
1446C22×D4—81792no—
1447C22×D4—81792no—
1448C22×D4—81792no—
1449C22×D4C23×D411792yes—
1450C22×D4C23×D41896yescomplemented
1451C22×D4C22×#411896yes—
1452C22×D4C26164yes—
1453C22×D4C261128yes—
1454C22×D4C261128yes—
1455C22×D4C261128yes—
1456C22×D4C261128yes—
1457C22×D4C261128yes—
1458C22×D4C261128yes—
1459C22×D4C26164yes—
1460C22×D4C261128yes—
1461C22×D4C261128yes—
1462C22×D4C261128yes—
1463C22×D4C261128yes—
1464C22×D4C261128yes—
1465C22×D4C26164yes—
1466C22×D4C261128yes—
1467C22×D4C261128yes—
1468C22×D4C26164yes—
1469C23×C4—256no—
1470C23×C4—2112no—
1471C23×C4—2112no—
1472C23×C4—2112no—
1473C23×C4—2112no—
1474C23×C4—2112no—
1475C23×C4—256no—
1476C23×C4—2112no—
1477C23×C4—2128no—
1478C23×C4—2256no—
1479C23×C4—2128no—
1480C23×C4—2128no—
1481C23×C4—2256no—
1482C23×C4—256no—
1483C23×C4—2112no—
1484C23×C4—256no—
1485C23×C4—2112no—
1486C23×C4—2112no—
1487C23×C4—2112no—
1488C23×C4—2112no—
1489C23×C4—2112no—
1490C23×C4—2112no—
1491C23×C4—2112no—
1492C23×C4—2112no—
1493C23×C4—2112no—
1494C23×C4—2112no—
1495C23×C4—2112no—
1496C23×C4—2112no—
1497C23×C4—2112no—
1498C23×C4—2112no—
1499C23×C4—2112no—
1500C23×C4—2112no—
1501C23×C4—2112no—
1502C23×C4—2112no—
1503C23×C4—2112no—
1504C23×C4—2896no—
1505C23×C4—2448no—
1506C23×C4—2896no—
1507C23×C4—2896no—
1508C23×C4—2448no—
1509C23×C4—2896no—
1510C23×C4—2896no—
1511C23×C4—2896no—
1512C23×C4—41792no—
1513C23×C4—4448no—
1514C23×C4—4448no—
1515C23×C4—4448no—
1516C23×C4—4448no—
1517C23×C4—43584no—
1518C23×C4—4448no—
1519C23×C4—4448no—
1520C23×C4—4448no—
1521C23×C4—4448no—
1522C23×C4—4448no—
1523C23×C4—43584no—
1524C23×C4—41792no—
1525C23×C4—464no—
1526C23×C4—4128no—
1527C23×C4—4128no—
1528C23×C4—4128no—
1529C23×C4—464no—
1530C23×C4—4128no—
1531C23×C4—4128no—
1532C23×C4—4128no—
1533C23×C4—81792no—
1534C23×C4—8896no—
1535C23×C4—81792no—
1536C23×C4C23×D41224yes—
1537C23×C4C23×D41112yes—
1538C23×C4C23×D41112yes—
1539C23×C4C23×D41896yes—
1540C23×C4C22×#411112yes—
1541C23×C4C2×H(5,𝔽2)1224yes—
1542C23×C4C26156yes—
1543C23×C4C26156yes—
1544C23×C4C26156yes—
1545C23×C4C26156yes—
1546C23×C4C26156yes—
1547C23×C4C26128yes—
1548C23×C4C26128yes—
1549C23×C4C26156yes—
1550C23×C4C261128yes—
1551C23×C4C261128yes—
1552C23×C4C26156yes—
1553C23×C4C26128yes—
1554C23×C4C26128yes—
1555C23×C4C26128yes—
1556C23×C4C26156yes—
1557C23×C4C26164yes—
1558C23×C4C261128yes—
1559C23×C4C261128yes—
1560C23×C4C26164yes—
1561C23×C4C26164yes—
1562#127—22048no—
1563#126—24096no—
1564#124—24096no—
1565#124—42048no—
1566#123—24096no—
1567#123—42048no—
1568C22⋊Q8—22048no—
1569#121—24096no—
1570#121—22048no—
1571#121—24096no—
1572#121—42048no—
1573#121—42048no—
1574#121C23×D414096yescomplemented
1575#120—24096no—
1576#120—24096no—
1577#120—22048no—
1578#120—24096no—
1579#120—42048no—
1580#120—42048no—
1581C4×D4—24096no—
1582C4×D4—22048no—
1583C4×D4—22048no—
1584C4×D4—42048no—
1585C2×C4⋊C4—2448no—
1586C2×C4⋊C4—2896no—
1587C2×C4⋊C4—2896no—
1588C2×C4⋊C4—2448no—
1589C2×C4⋊C4—2896no—
1590C2×C4⋊C4—4448no—
1591C2×C4⋊C4—4448no—
1592C2×C4⋊C4—4448no—
1593C2×C4⋊C4C23×D41896yescomplemented
1594C2×C4⋊C4C26164yes—
1595C2×C4⋊C4C261128yes—
1596C2×C4⋊C4C261128yes—
1597C2×C4⋊C4C261128yes—
1598C2×C4⋊C4C26164yes—
1599C2×C4⋊C4C261128yes—
1600C2×C4⋊C4C261128yes—
1601C2×C4⋊C4C261128yes—
1602C2×C4⋊C4C26164yes—
1603C2×C22⋊C4—2448no—
1604C2×C22⋊C4—2896no—
1605C2×C22⋊C4—2896no—
1606C2×C22⋊C4—2448no—
1607C2×C22⋊C4—2448no—
1608C2×C22⋊C4—2896no—
1609C2×C22⋊C4—2896no—
1610C2×C22⋊C4—2896no—
1611C2×C22⋊C4—2896no—
1612C2×C22⋊C4—22048no—
1613C2×C22⋊C4—2896no—
1614C2×C22⋊C4—2448no—
1615C2×C22⋊C4—2896no—
1616C2×C22⋊C4—2896no—
1617C2×C22⋊C4—2896no—
1618C2×C22⋊C4—2896no—
1619C2×C22⋊C4—2896no—
1620C2×C22⋊C4—2896no—
1621C2×C22⋊C4—2896no—
1622C2×C22⋊C4—2896no—
1623C2×C22⋊C4—42048no—
1624C2×C22⋊C4—42048no—
1625C2×C22⋊C4—4448no—
1626C2×C22⋊C4—4448no—
1627C2×C22⋊C4—4448no—
1628C2×C22⋊C4—4448no—
1629C2×C22⋊C4—4448no—
1630C2×C22⋊C4—4448no—
1631C2×C22⋊C4—4448no—
1632C2×C22⋊C4—4448no—
1633C2×C22⋊C4—4448no—
1634C2×C22⋊C4—4448no—
1635C2×C22⋊C4—4448no—
1636C2×C22⋊C4—4448no—
1637C2×C22⋊C4—4448no—
1638C2×C22⋊C4—4448no—
1639C2×C22⋊C4C23×D411792yescomplemented
1640C2×C22⋊C4C261128yes—
1641C2×C22⋊C4C261128yes—
1642C2×C22⋊C4C261128yes—
1643C2×C22⋊C4C261128yes—
1644C2×C22⋊C4C261128yes—
1645C2×C22⋊C4C26164yes—
1646C2×C22⋊C4C26164yes—
1647C2×C22⋊C4C26164yes—
1648C2×C22⋊C4C261128yes—
1649C2×C22⋊C4C261128yes—
1650C2×C22⋊C4C261128yes—
1651C2×C22⋊C4C261128yes—
1652C2×C22⋊C4C26164yes—
1653C2×C22⋊C4C261128yes—
1654C2×C22⋊C4C261128yes—
1655C2×C22⋊C4C261128yes—
1656C2×C22⋊C4C261128yes—
1657C2×C22⋊C4C261128yes—
1658C2×C22⋊C4C261128yes—
1659C2×C22⋊C4C261128yes—
1660C2×C22⋊C4C261128yes—
1661C2×C22⋊C4C261128yes—
1662C2×C22⋊C4C261128yes—
1663C2×C22⋊C4C261128yes—
1664C2×C22⋊C4C261128yes—
1665C2×C22⋊C4C261128yes—
1666C2×C22⋊C4C261128yes—
1667C2×C22⋊C4C261128yes—
1668C2×C22⋊C4C261128yes—
1669C2×C22⋊C4C261128yes—
1670C2×C22⋊C4C261128yes—
1671C2×C22⋊C4C261128yes—
1672C2×C22⋊C4C261128yes—
1673C2×C22⋊C4C261128yes—
1674C2×C42—2448no—
1675C2×C42—2896no—
1676C2×C42—4448no—
1677C2×C42—4448no—
1678C2×C42C26164yes—
1679C2×C42C261128yes—
1680C2×C42C261128yes—
1681C2×C42C261128yes—
1682#95C26164yes—
1683#95C261128yes—
1684#95C26164yes—
1685#95C261128yes—
1686#95C261128yes—
1687#95C261128yes—
1688#95C261128yes—
1689#95C261128yes—
1690#95C261128yes—
1691#95C261128yes—
1692#95C261128yes—
1693#95C261128yes—
1694C24—2448no—
1695C24—2896no—
1696C24—2448no—
1697C24—22048no—
1698C24—2112no—
1699C24—2112no—
1700C24—2896no—
1701C24—2896no—
1702C24—2896no—
1703C24—2896no—
1704C24—2896no—
1705C24—2896no—
1706C24—256no—
1707C24—2112no—
1708C24—2112no—
1709C24—2112no—
1710C24—2112no—
1711C24—2112no—
1712C24—2112no—
1713C24—2112no—
1714C24—2112no—
1715C24—2112no—
1716C24—2112no—
1717C24—2112no—
1718C24—2112no—
1719C24—2112no—
1720C24—256no—
1721C24—2112no—
1722C24—2448no—
1723C24—2896no—
1724C24—2896no—
1725C24—2112no—
1726C24—2112no—
1727C24—2112no—
1728C24—2112no—
1729C24—2112no—
1730C24—2112no—
1731C24—2112no—
1732C24—2112no—
1733C24—2112no—
1734C24—2112no—
1735C24—2112no—
1736C24—2256no—
1737C24—2128no—
1738C24—2112no—
1739C24—2112no—
1740C24—2112no—
1741C24—2256no—
1742C24—2256no—
1743C24—2256no—
1744C24—2256no—
1745C24—2256no—
1746C24—2256no—
1747C24—2128no—
1748C24—2128no—
1749C24—4128no—
1750C24—4128no—
1751C24—4128no—
1752C24—4128no—
1753C24—4128no—
1754C24—4128no—
1755C24—4128no—
1756C24—4128no—
1757C24—4128no—
1758C24—43584no—
1759C24—43584no—
1760C24—43584no—
1761C24—43584no—
1762C24—43584no—
1763C24—43584no—
1764C24—43584no—
1765C24—4224no—
1766C24—4448no—
1767C24—4448no—
1768C24—4448no—
1769C24—4448no—
1770C24—4224no—
1771C24—42048no—
1772C24—41024no—
1773C24—42048no—
1774C24—4448no—
1775C24—4448no—
1776C24—4448no—
1777C24—4448no—
1778C24—4448no—
1779C24—4448no—
1780C24—4448no—
1781C24—4448no—
1782C24—4448no—
1783C24—4448no—
1784C24—4448no—
1785C24—4448no—
1786C24—4448no—
1787C24—43584no—
1788C24—4448no—
1789C24—41792no—
1790C24—4448no—
1791C24—4448no—
1792C24—4448no—
1793C24—4448no—
1794C24—4448no—
1795C24—81792no—
1796C24—8896no—
1797C24—81792no—
1798C24—81792no—
1799C24—81792no—
1800C24—8896no—
1801C24—81792no—
1802C24—81792no—
1803C24—81792no—
1804C24—828672no—
1805C24—814336no—
1806C24—81792no—
1807C24—828672no—
1808C24—81024no—
1809C24—81024no—
1810C24C2×#5461896yes—
1811C24C2×#546164yes—
1812C24#3484164yes—
1813C24#3498164yes—
1814C24#35191128yes—
1815C24#35321128yes—
1816C24C24×D41224yes—
1817C24C24×D41112yes—
1818C24C24×D4128yes—
1819C24C23×#411112yes—
1820C24C23×#411112yes—
1821C24C23×#41128yes—
1822C24C22×H(5,𝔽2)1224yes—
1823C24C22×H(5,𝔽2)1112yes—
1824C24C22×H(5,𝔽2)156yes—
1825C24C22×H(5,𝔽2)156yes—
1826C24C22×H(5,𝔽2)128yes—
1827C24C27116yes—
1828C24C27116yes—
1829C24C27116yes—
1830C24C2718yes—
1831C24C27116yes—
1832C24C2718yes—
1833C24C2717yes—
1834C2×Q8—2128no—
1835C2×Q8—4128no—
1836C2×Q8—8896no—
1837C2×D4—23584no—
1838C2×D4—2128no—
1839C2×D4—2256no—
1840C2×D4—2256no—
1841C2×D4—2256no—
1842C2×D4—2128no—
1843C2×D4—23584no—
1844C2×D4—27168no—
1845C2×D4—2256no—
1846C2×D4—2256no—
1847C2×D4—2256no—
1848C2×D4—2256no—
1849C2×D4—2256no—
1850C2×D4—2256no—
1851C2×D4—2256no—
1852C2×D4—2256no—
1853C2×D4—2256no—
1854C2×D4—2256no—
1855C2×D4—2256no—
1856C2×D4—2128no—
1857C2×D4—2256no—
1858C2×D4—2256no—
1859C2×D4—2128no—
1860C2×D4—2256no—
1861C2×D4—2256no—
1862C2×D4—2256no—
1863C2×D4—41792no—
1864C2×D4—4128no—
1865C2×D4—4128no—
1866C2×D4—4128no—
1867C2×D4—4128no—
1868C2×D4—4128no—
1869C2×D4—4128no—
1870C2×D4—4128no—
1871C2×D4—4128no—
1872C2×D4—4128no—
1873C2×D4—4128no—
1874C2×D4—4128no—
1875C2×D4—4128no—
1876C2×D4—4128no—
1877C2×D4—4128no—
1878C2×D4—43584no—
1879C2×D4—43584no—
1880C2×D4—43584no—
1881C2×D4—43584no—
1882C2×D4—43584no—
1883C2×D4—41792no—
1884C2×D4—4128no—
1885C2×D4—4128no—
1886C2×D4—4128no—
1887C2×D4—4128no—
1888C2×D4—4128no—
1889C2×D4—4128no—
1890C2×D4—4128no—
1891C2×D4—4128no—
1892C2×D4—416384no—
1893C2×D4—48192no—
1894C2×D4—48192no—
1895C2×D4—43584no—
1896C2×D4—43584no—
1897C2×D4—416384no—
1898C2×D4—43584no—
1899C2×D4—81792no—
1900C2×D4—81792no—
1901C2×D4—81792no—
1902C2×D4—81792no—
1903C2×D4C24×D41512yes—
1904C2×D4C24×D41256yescomplemented
1905C2×D4C23×#411256yes—
1906C22×C4—2448no—
1907C22×C4—2448no—
1908C22×C4—256no—
1909C22×C4—2112no—
1910C22×C4—2112no—
1911C22×C4—2112no—
1912C22×C4—2112no—
1913C22×C4—2112no—
1914C22×C4—256no—
1915C22×C4—2112no—
1916C22×C4—2448no—
1917C22×C4—2896no—
1918C22×C4—2896no—
1919C22×C4—256no—
1920C22×C4—2112no—
1921C22×C4—2112no—
1922C22×C4—256no—
1923C22×C4—2112no—
1924C22×C4—2112no—
1925C22×C4—2112no—
1926C22×C4—2112no—
1927C22×C4—2112no—
1928C22×C4—2112no—
1929C22×C4—2112no—
1930C22×C4—2112no—
1931C22×C4—2112no—
1932C22×C4—2112no—
1933C22×C4—2112no—
1934C22×C4—2112no—
1935C22×C4—2112no—
1936C22×C4—2112no—
1937C22×C4—2112no—
1938C22×C4—2112no—
1939C22×C4—2112no—
1940C22×C4—2112no—
1941C22×C4—2256no—
1942C22×C4—2128no—
1943C22×C4—2256no—
1944C22×C4—2256no—
1945C22×C4—2128no—
1946C22×C4—2256no—
1947C22×C4—2256no—
1948C22×C4—2256no—
1949C22×C4—41792no—
1950C22×C4—4128no—
1951C22×C4—4128no—
1952C22×C4—4128no—
1953C22×C4—4128no—
1954C22×C4—43584no—
1955C22×C4—4128no—
1956C22×C4—4128no—
1957C22×C4—4128no—
1958C22×C4—4128no—
1959C22×C4—4128no—
1960C22×C4—43584no—
1961C22×C4—41792no—
1962C22×C4—4224no—
1963C22×C4—4448no—
1964C22×C4—4448no—
1965C22×C4—4448no—
1966C22×C4—4448no—
1967C22×C4—4224no—
1968C22×C4—4448no—
1969C22×C4—4448no—
1970C22×C4—81792no—
1971C22×C4—8896no—
1972C22×C4—81792no—
1973C22×C4C24×D41224yes—
1974C22×C4C24×D41112yes—
1975C22×C4C24×D41112yes—
1976C22×C4C24×D41256yes—
1977C22×C4C23×#411112yes—
1978C22×C4C22×H(5,𝔽2)1224yes—
1979C22×C4C27116yes—
1980C22×C4C27116yes—
1981C22×C4C2718yes—
1982C22×C4C27116yes—
1983C22×C4C27116yes—
1984C22×C4C27116yes—
1985C22×C4C2718yes—
1986C22×C4C27116yes—
1987C22×C4C2718yes—
1988C22×C4C27116yes—
1989C22×C4C2718yes—
1990C22×C4C2718yes—
1991C22×C4C27116yes—
1992C4⋊C4—2128no—
1993C4⋊C4—2256no—
1994C4⋊C4—2256no—
1995C4⋊C4—2128no—
1996C4⋊C4—2256no—
1997C4⋊C4—4128no—
1998C4⋊C4—4128no—
1999C4⋊C4—4128no—
2000C4⋊C4C24×D41256yescomplemented
2001C22⋊C4—2128no—
2002C22⋊C4—2256no—
2003C22⋊C4—2256no—
2004C22⋊C4—2128no—
2005C22⋊C4—2128no—
2006C22⋊C4—2256no—
2007C22⋊C4—2256no—
2008C22⋊C4—2256no—
2009C22⋊C4—2256no—
2010C22⋊C4—2256no—
2011C22⋊C4—2128no—
2012C22⋊C4—2256no—
2013C22⋊C4—2256no—
2014C22⋊C4—2256no—
2015C22⋊C4—2256no—
2016C22⋊C4—2256no—
2017C22⋊C4—2256no—
2018C22⋊C4—2256no—
2019C22⋊C4—2256no—
2020C22⋊C4—4128no—
2021C22⋊C4—4128no—
2022C22⋊C4—4128no—
2023C22⋊C4—4128no—
2024C22⋊C4—4128no—
2025C22⋊C4—4128no—
2026C22⋊C4—4128no—
2027C22⋊C4—4128no—
2028C22⋊C4—4128no—
2029C22⋊C4—4128no—
2030C22⋊C4—4128no—
2031C22⋊C4—4128no—
2032C22⋊C4—4128no—
2033C22⋊C4—4128no—
2034C22⋊C4C24×D41512yescomplemented
2035C42—2128no—
2036C42—2256no—
2037C42—4128no—
2038C42—4128no—
2039C23—2448no—
2040C23—2224no—
2041C23—2448no—
2042C23—2224no—
2043C23—216no—
2044C23—216no—
2045C23—23584no—
2046C23—2448no—
2047C23—2224no—
2048C23—2448no—
2049C23—2448no—
2050C23—2448no—
2051C23—2448no—
2052C23—2448no—
2053C23—2448no—
2054C23—216no—
2055C23—28no—
2056C23—216no—
2057C23—216no—
2058C23—216no—
2059C23—216no—
2060C23—216no—
2061C23—216no—
2062C23—216no—
2063C23—216no—
2064C23—216no—
2065C23—216no—
2066C23—216no—
2067C23—216no—
2068C23—216no—
2069C23—28no—
2070C23—216no—
2071C23—216no—
2072C23—216no—
2073C23—216no—
2074C23—216no—
2075C23—216no—
2076C23—216no—
2077C23—216no—
2078C23—216no—
2079C23—216no—
2080C23—216no—
2081C23—216no—
2082C23—216no—
2083C23—216no—
2084C23—4512no—
2085C23—4512no—
2086C23—4512no—
2087C23—4512no—
2088C23—4512no—
2089C23—4512no—
2090C23—4512no—
2091C23—4224no—
2092C23—4224no—
2093C23—4224no—
2094C23—4224no—
2095C23—4224no—
2096C23—4112no—
2097C23—4224no—
2098C23—4224no—
2099C23—4224no—
2100C23—4224no—
2101C23—4112no—
2102C23—43584no—
2103C23—43584no—
2104C23—41792no—
2105C23—4224no—
2106C23—4224no—
2107C23—4224no—
2108C23—4224no—
2109C23—4512no—
2110C23—4224no—
2111C23—4256no—
2112C23—4224no—
2113C23—4224no—
2114C23—4224no—
2115C23—4224no—
2116C23—4224no—
2117C23—4224no—
2118C23—4224no—
2119C23—4224no—
2120C23—4224no—
2121C23—8128no—
2122C23—8256no—
2123C23—8256no—
2124C23—8256no—
2125C23—8256no—
2126C23—8128no—
2127C23—8256no—
2128C23—8256no—
2129C23—8256no—
2130C23—814336no—
2131C23—87168no—
2132C23—8256no—
2133C23—814336no—
2134C23—81792no—
2135C23—81792no—
2136C23#438931512yesdirect product factor
2137C23C22×#5461448yes—
2138C23C22×#5461112yes—
2139C23C2×#35321224yes—
2140C23C2×#34841112yes—
2141C23C2×#35191224yes—
2142C23C2×#34981112yes—
2143C23C25×D4132yes—
2144C23C25×D4116yes—
2145C23C25×D4114yes—
2146C23C24×#41116yes—
2147C23C24×#41116yes—
2148C23C24×#41114yes—
2149C23C23×H(5,𝔽2)132yes—
2150C23C23×H(5,𝔽2)116yes—
2151C23C23×H(5,𝔽2)114yes—
2152C23C23×H(5,𝔽2)128yes—
2153C23C23×H(5,𝔽2)128yes—
2154C23C2811yescharacteristic
2155Q8—8128no—
2156D4—2512no—
2157D4—2512no—
2158D4—21024no—
2159D4—4256no—
2160D4—4512no—
2161D4—4512no—
2162D4—4512no—
2163D4—4512no—
2164D4—4256no—
2165D4—4512no—
2166D4—4512no—
2167D4—4512no—
2168D4—4512no—
2169D4—8256no—
2170D4—8256no—
2171D4—8256no—
2172D4—8256no—
2173C2×C4—2448no—
2174C2×C4—2224no—
2175C2×C4—2448no—
2176C2×C4—2224no—
2177C2×C4—2224no—
2178C2×C4—28no—
2179C2×C4—216no—
2180C2×C4—216no—
2181C2×C4—216no—
2182C2×C4—216no—
2183C2×C4—216no—
2184C2×C4—216no—
2185C2×C4—28no—
2186C2×C4—28no—
2187C2×C4—216no—
2188C2×C4—216no—
2189C2×C4—28no—
2190C2×C4—216no—
2191C2×C4—216no—
2192C2×C4—216no—
2193C2×C4—216no—
2194C2×C4—216no—
2195C2×C4—216no—
2196C2×C4—216no—
2197C2×C4—216no—
2198C2×C4—216no—
2199C2×C4—216no—
2200C2×C4—216no—
2201C2×C4—216no—
2202C2×C4—216no—
2203C2×C4—216no—
2204C2×C4—216no—
2205C2×C4—216no—
2206C2×C4—216no—
2207C2×C4—216no—
2208C2×C4—4256no—
2209C2×C4—4512no—
2210C2×C4—4512no—
2211C2×C4—4256no—
2212C2×C4—4224no—
2213C2×C4—4224no—
2214C2×C4—4112no—
2215C2×C4—4224no—
2216C2×C4—4224no—
2217C2×C4—4224no—
2218C2×C4—4224no—
2219C2×C4—4112no—
2220C2×C4—8256no—
2221C2×C4—8128no—
2222C2×C4—8256no—
2223C2×C4C25×D4132yes—
2224C2×C4C25×D4116yes—
2225C2×C4C25×D4116yes—
2226C2×C4C24×#41116yes—
2227C2×C4C23×H(5,𝔽2)132yes—
2228C22—216no—
2229C22—232no—
2230C22—232no—
2231C22—2896no—
2232C22—216no—
2233C22—232no—
2234C22—232no—
2235C22—232no—
2236C22—232no—
2237C22—232no—
2238C22—232no—
2239C22—216no—
2240C22—232no—
2241C22—48no—
2242C22—416no—
2243C22—416no—
2244C22—416no—
2245C22—416no—
2246C22—416no—
2247C22—416no—
2248C22—416no—
2249C22—4896no—
2250C22—4896no—
2251C22—4448no—
2252C22—416no—
2253C22—48no—
2254C22—416no—
2255C22—416no—
2256C22—416no—
2257C22—416no—
2258C22—416no—
2259C22—416no—
2260C22—416no—
2261C22—416no—
2262C22—416no—
2263C22—416no—
2264C22—416no—
2265C22—416no—
2266C22—416no—
2267C22—416no—
2268C22—416no—
2269C22—81024no—
2270C22—8512no—
2271C22—81024no—
2272C22—8448no—
2273C22—8448no—
2274C22C2×#438931448yesdirect product factor
2275C22C23×#546132yes—
2276C22C23×#546128yes—
2277C22C22×#3484128yes—
2278C22C22×#3519156yes—
2279C22C22×#3498128yes—
2280C22C22×#3532156yes—
2281C22C26×D411yescharacteristic
2282C22C25×#4111yescharacteristic
2283C22C24×H(5,𝔽2)12yes—
2284C22C24×H(5,𝔽2)12yes—
2285C22C24×H(5,𝔽2)11yescharacteristic
2286C4—216no—
2287C4—216no—
2288C4—232no—
2289C4—216no—
2290C4—232no—
2291C4—48no—
2292C4—416no—
2293C4—416no—
2294C4—416no—
2295C4—416no—
2296C4—416no—
2297C4—416no—
2298C4—48no—
2299C2—232no—
2300C2—432no—
2301C2—432no—
2302C2—416no—
2303C2—816no—
2304C2—816no—
2305C2C23×#348411yescharacteristic
2306C2C23×#353212yes—
2307C2C23×#349811yescharacteristic
2308C2C24×#54611yescharacteristic
2309C2C22×#43893156yesdirect product factor
2310C2C23×#351912yes—
subgroupG/H
center, socleC26C25
commutator, Frattini, cosocleC23C28
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C26 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C23×#2467C2semidirect
2. C23×#2714C2semidirect
3. C23×#2564C2semidirect
4. C23×#2703C2semidirect
5. C24×#538C2semidirect
6. C23×#2364C2semidirect
7. C23×#2321C2semidirect
8. C23×#2670C2semidirect
9. C23×#2435C2semidirect
10. C23×#2418C2semidirect
11. C23×#2673C2semidirect
12. C23×#2555C2semidirect
13. C23×#2539C2semidirect
14. C22×#43893C2direct (N × H)
15. C23×D4×C22⋊C4C2semidirect
16. C23×#2410C2semidirect
17. C23×#2408C2semidirect
18. C24×#392C2semidirect
19. C23×#2403C2semidirect
20. C24×D42C2semidirect
23. C26×D4C22semidirect
24. C26×D4C22semidirect
26. C23×D42C22semidirect
28. C23×#538C22semidirect
29. C24×#127C22semidirect
30. C24×#126C22semidirect
31. C24×#124C22semidirect
32. C24×#124C22semidirect
33. C24×#123C22semidirect
34. C24×#123C22semidirect
35. C24×C22⋊Q8C22semidirect
37. C24×#121C22semidirect
38. C24×#121C22semidirect
39. C24×#121C22semidirect
40. C24×#121C22semidirect
41. C24×#121C22semidirect
44. C24×#120C22semidirect
45. C24×#120C22semidirect
46. C24×#120C22semidirect
47. C24×#120C22semidirect
49. C24×C4×D4C22semidirect
50. C24×C4×D4C22semidirect
51. C24×C4×D4C22semidirect
52. C25×C22⋊C4C22semidirect
53. C25×C22⋊C4C22semidirect
54. C25×C22⋊C4C22semidirect
55. C2×#43893C22direct (N × H)
56. C22×#2703C22semidirect
57. C22×#2670C22semidirect
58. C22×#2714C22semidirect
59. C22×#2673C22semidirect
60. C22×#2564C22semidirect
61. C22×#2555C22semidirect
62. C22×#2539C22semidirect
63. C22×#2435C22semidirect
64. C22×#2408C22semidirect
65. C22×#2467C22semidirect
66. C22×#2418C22semidirect
67. C22×#2410C22semidirect
68. C22×#2403C22semidirect
69. C23×#400C22semidirect
70. C23×#399C22semidirect
71. C23×#399C22semidirect
72. C23×#397C22semidirect
73. C23×#395C22semidirect
74. C23×#394C22semidirect
75. C23×#394C22semidirect
76. C23×#394C22semidirect
77. C23×#394C22semidirect
78. C23×#394C22semidirect
79. C23×#394C22semidirect
80. C23×#393C22semidirect
82. C23×#392C22semidirect
83. C23×#392C22semidirect
84. C23×#392C22semidirect
85. C23×#392C22semidirect
86. C23×#392C22semidirect
87. C23×#392C22semidirect
88. C23×#392C22semidirect
89. C23×#392C22semidirect
90. C23×#392C22semidirect
91. C23×#392C22semidirect
92. C22×#2364C22semidirect
93. C22×D4×C22⋊C4C22semidirect
94. C22×#2321C22semidirect
95. C23×#390C22semidirect
96. C23×#390C22semidirect
97. C23×#390C22semidirect
98. C23×#390C22semidirect
99. C23×#390C22semidirect
100. C23×#390C22semidirect
101. C23×#388C22semidirect
102. C23×#388C22semidirect
103. C23×#388C22semidirect
104. C23×#388C22semidirect
105. C23×#388C22semidirect
106. C23×#387C22semidirect
107. C23×#387C22semidirect
110. C23×#386C22semidirect
111. C23×#386C22semidirect
112. C23×#386C22semidirect
113. C23×#386C22semidirect
114. C23×#386C22semidirect
115. C23×#386C22semidirect
116. C23×#386C22semidirect
117. C23×#386C22semidirect
118. C23×#385C22semidirect
119. C23×#385C22semidirect
120. C23×#380C22semidirect
121. C23×#380C22semidirect
122. C23×#379C22semidirect
123. C23×#379C22semidirect
124. C23×#379C22semidirect
125. C23×#379C22semidirect
126. C23×C4×C22⋊C4C22semidirect
127. C23×C4×C22⋊C4C22semidirect
128. C23×C4×C22⋊C4C22semidirect
129. C24×#95C22semidirect
163. C25×D4C23semidirect
164. C25×D4C23semidirect
173. C22×D42C23semidirect
175. C22×#538C23semidirect
177. C23×#127C23semidirect
179. C23×#126C23semidirect
182. C23×#124C23semidirect
183. C23×#124C23semidirect
186. C23×#123C23semidirect
187. C23×#123C23semidirect
189. C23×C22⋊Q8C23semidirect
195. C23×#121D4semidirect
197. C23×#121C23semidirect
198. C23×#121C23semidirect
199. C23×#121C23semidirect
200. C23×#121C23semidirect
201. C23×#121C23semidirect
210. C23×#120C23semidirect
211. C23×#120C23semidirect
212. C23×#120C23semidirect
213. C23×#120C23semidirect
219. C23×C4×D4C23semidirect
220. C23×C4×D4C23semidirect
221. C23×C4×D4C23semidirect
268. C24×C22⋊C4C23semidirect
269. C24×C22⋊C4C23semidirect
270. C24×C22⋊C4C23semidirect
275. C2×#2714C23semidirect
276. C2×#2703C23semidirect
277. C2×#2673C23semidirect
278. C2×#2670C23semidirect
279. #43893C23direct (N × H)
280. C2×#2564C23semidirect
281. C2×#2555C23semidirect
282. C2×#2539C23semidirect
283. C2×#2435C23semidirect
284. C2×#2408C23semidirect
285. C2×#2467C23semidirect
286. C2×#2418C23semidirect
287. C2×#2410C23semidirect
288. C2×#2403C23semidirect
289. C22×#400C23semidirect
290. C22×#399C23semidirect
291. C22×#399C23semidirect
292. C22×#397C23semidirect
293. C22×#395C23semidirect
294. C22×#394C23semidirect
295. C22×#394C23semidirect
296. C22×#394C23semidirect
297. C22×#394C23semidirect
298. C22×#394C23semidirect
299. C22×#394C23semidirect
300. C22×#393C23semidirect
302. C22×#392C23semidirect
303. C22×#392C23semidirect
304. C22×#392C23semidirect
305. C22×#392C23semidirect
306. C22×#392C23semidirect
307. C22×#392C23semidirect
308. C22×#392C23semidirect
309. C22×#392C23semidirect
310. C22×#392C23semidirect
311. C22×#392C23semidirect
312. C2×#2364C23semidirect
313. C2×D4×C22⋊C4C23semidirect
314. C2×#2321C23semidirect
315. C22×#390C23semidirect
316. C22×#390C23semidirect
317. C22×#390C23semidirect
318. C22×#390C23semidirect
319. C22×#390C23semidirect
320. C22×#390C23semidirect
321. C22×#388C23semidirect
322. C22×#388C23semidirect
323. C22×#388C23semidirect
324. C22×#388C23semidirect
325. C22×#388C23semidirect
326. C22×#387C23semidirect
327. C22×#387C23semidirect
330. C22×#386C23semidirect
331. C22×#386C23semidirect
332. C22×#386C23semidirect
333. C22×#386C23semidirect
334. C22×#386C23semidirect
335. C22×#386C23semidirect
336. C22×#386C23semidirect
337. C22×#386C23semidirect
338. C22×#385C23semidirect
339. C22×#385C23semidirect
340. C22×#380C23semidirect
341. C22×#380C23semidirect
342. C22×#379C23semidirect
343. C22×#379C23semidirect
344. C22×#379C23semidirect
345. C22×#379C23semidirect
346. C22×C4×C22⋊C4C23semidirect
347. C22×C4×C22⋊C4C23semidirect
348. C22×C4×C22⋊C4C23semidirect
361. C23×#95C23semidirect
453. C24×D4C2×D4semidirect
474. C24×D4C24semidirect
475. C24×D4C24semidirect
515. C2×D42C24semidirect
517. C2×#538C24semidirect
519. C22×#127C24semidirect
521. C22×#126C24semidirect
524. C22×#124C24semidirect
525. C22×#124C24semidirect
528. C22×#123C24semidirect
529. C22×#123C24semidirect
531. C22×C22⋊Q8C24semidirect
537. C22×#121C2×D4semidirect
539. C22×#121C24semidirect
540. C22×#121C24semidirect
541. C22×#121C24semidirect
542. C22×#121C24semidirect
543. C22×#121C24semidirect
552. C22×#120C24semidirect
553. C22×#120C24semidirect
554. C22×#120C24semidirect
555. C22×#120C24semidirect
561. C22×C4×D4C24semidirect
562. C22×C4×D4C24semidirect
563. C22×C4×D4C24semidirect
572. C23×C4⋊C4C2×D4semidirect
618. C23×C22⋊C4C2×D4semidirect
653. C23×C22⋊C4C24semidirect
654. C23×C22⋊C4C24semidirect
655. C23×C22⋊C4C24semidirect
664. #2714C24semidirect
665. #2703C24semidirect
666. #2673C24semidirect
667. #2670C24semidirect
668. #2564C24semidirect
669. #2555C24semidirect
670. #2539C24semidirect
671. #2467C24semidirect
672. #2435C24semidirect
673. #2418C24semidirect
674. #2410C24semidirect
675. #2408C24semidirect
676. #2403C24semidirect
677. C2×#400C24semidirect
678. C2×#399C24semidirect
679. C2×#399C24semidirect
680. C2×#397C24semidirect
681. C2×#395C24semidirect
682. C2×#394C24semidirect
683. C2×#394C24semidirect
684. C2×#394C24semidirect
685. C2×#394C24semidirect
686. C2×#394C24semidirect
687. C2×#394C24semidirect
688. C2×#393C24semidirect
690. C2×#392C24semidirect
691. C2×#392C24semidirect
692. C2×#392C24semidirect
693. C2×#392C24semidirect
694. C2×#392C24semidirect
695. C2×#392C24semidirect
696. C2×#392C24semidirect
697. C2×#392C24semidirect
698. C2×#392C24semidirect
699. C2×#392C24semidirect
700. #2364C24semidirect
701. D4×C22⋊C4C24semidirect
702. #2321C24semidirect
703. C2×#390C24semidirect
704. C2×#390C24semidirect
705. C2×#390C24semidirect
706. C2×#390C24semidirect
707. C2×#390C24semidirect
708. C2×#390C24semidirect
709. C2×#388C24semidirect
710. C2×#388C24semidirect
711. C2×#388C24semidirect
712. C2×#388C24semidirect
713. C2×#388C24semidirect
714. C2×#387C24semidirect
715. C2×#387C24semidirect
718. C2×#386C24semidirect
719. C2×#386C24semidirect
720. C2×#386C24semidirect
721. C2×#386C24semidirect
722. C2×#386C24semidirect
723. C2×#386C24semidirect
724. C2×#386C24semidirect
725. C2×#386C24semidirect
726. C2×#385C24semidirect
727. C2×#385C24semidirect
728. C2×#380C24semidirect
729. C2×#380C24semidirect
730. C2×#379C24semidirect
731. C2×#379C24semidirect
732. C2×#379C24semidirect
733. C2×#379C24semidirect
734. C2×C4×C22⋊C4C24semidirect
735. C2×C4×C22⋊C4C24semidirect
736. C2×C4×C22⋊C4C24semidirect
749. C22×#95C24semidirect
917. C23×D4C22×D4semidirect
938. C23×D4C25semidirect
939. C23×D4C25semidirect
1023. C2×#127C25semidirect
1025. C2×#126C25semidirect
1028. C2×#124C25semidirect
1029. C2×#124C25semidirect
1032. C2×#123C25semidirect
1033. C2×#123C25semidirect
1035. C2×C22⋊Q8C25semidirect
1041. C2×#121C22×D4semidirect
1043. C2×#121C25semidirect
1044. C2×#121C25semidirect
1045. C2×#121C25semidirect
1046. C2×#121C25semidirect
1047. C2×#121C25semidirect
1056. C2×#120C25semidirect
1057. C2×#120C25semidirect
1058. C2×#120C25semidirect
1059. C2×#120C25semidirect
1065. C2×C4×D4C25semidirect
1066. C2×C4×D4C25semidirect
1067. C2×C4×D4C25semidirect
1076. C22×C4⋊C4C22×D4semidirect
1122. C22×C22⋊C4C22×D4semidirect
1157. C22×C22⋊C4C25semidirect
1158. C22×C22⋊C4C25semidirect
1159. C22×C22⋊C4C25semidirect
1168. #400C25semidirect
1169. #399C25semidirect
1170. #399C25semidirect
1171. #397C25semidirect
1172. #395C25semidirect
1173. #394C25semidirect
1174. #394C25semidirect
1175. #394C25semidirect
1176. #394C25semidirect
1177. #394C25semidirect
1178. #394C25semidirect
1179. #393C25semidirect
1181. #392C25semidirect
1182. #392C25semidirect
1183. #392C25semidirect
1184. #392C25semidirect
1185. #392C25semidirect
1186. #392C25semidirect
1187. #392C25semidirect
1188. #392C25semidirect
1189. #392C25semidirect
1190. #390C25semidirect
1191. #390C25semidirect
1192. #390C25semidirect
1193. #390C25semidirect
1194. #390C25semidirect
1195. #390C25semidirect
1196. #388C25semidirect
1197. #388C25semidirect
1198. #388C25semidirect
1199. #388C25semidirect
1200. #388C25semidirect
1201. #387C25semidirect
1202. #387C25semidirect
1205. #386C25semidirect
1206. #386C25semidirect
1207. #386C25semidirect
1208. #386C25semidirect
1209. #386C25semidirect
1210. #386C25semidirect
1211. #386C25semidirect
1212. #386C25semidirect
1213. #385C25semidirect
1214. #385C25semidirect
1215. #380C25semidirect
1216. #380C25semidirect
1217. #379C25semidirect
1218. #379C25semidirect
1219. #379C25semidirect
1220. #379C25semidirect
1221. C4×C22⋊C4C25semidirect
1222. C4×C22⋊C4C25semidirect
1223. C4×C22⋊C4C25semidirect
1236. C2×#95C25semidirect
1450. C22×D4C23×D4semidirect
1574. #121C23×D4semidirect
1593. C2×C4⋊C4C23×D4semidirect
1639. C2×C22⋊C4C23×D4semidirect
1904. C2×D4C24×D4semidirect
2000. C4⋊C4C24×D4semidirect
2034. C22⋊C4C24×D4semidirect
2136. C23#43893direct (N × H)
2274. C22C2×#43893direct (N × H)
2309. C2C22×#43893direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C23×#24672
C23×#27142
C23×#25642
C23×#27032
C24×#5382
C23×#23642
C23×#23212
C23×#26702
C23×#24352
C23×#24182
C23×#26732
C23×#25552
C23×#25392
C22×#438932
C23×D4×C22⋊C42
C23×#24102
C23×#24082
C24×#3922
C23×#24032
C24×D422